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The results of this book's research provide compelling evidence of ChatGPT's adept use of the Peter Chew Theorem, enabling correct Convert Square Root Complex Number To A Complex Number. In contrast, when ChatGPT using current approach, ChatGPT can not correct Convert Square Root Complex Number To A Complex Number. This performance disparity underscores the vital role of the Peter Chew Theorem in enhancing AI systems' mathematical abilities, highlighting the transformative potential of diverse methodologies in advancing AI's mathematical prowess. This study underscores the importance of pioneering innovative Theorem to overcome existing Errors in AI systems like ChatGPT, particularly in Converting Quadratic Surd. The groundbreaking Peter Chew Theorem for Quadratic Surd showcased here holds the promise of unleashing untapped potential, elevating AI systems to new levels of proficiency. Essentially, the Peter Chew Theorem offers a strategic avenue for enhancing AI capabilities and pushing the boundaries of achievable accomplishments. These findings not only contribute to enhance AI's mathematical competencies but also emphasize the need for pioneering new Theorems, Methods , Rules or Formulas to further enhance AI systems like ChatGPT.
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